Electromagnetic Interaction of Massive Spin-3 State from String Theory

TL;DR

This paper investigates how a constant electromagnetic field affects the massive spin-3 and spin-1 states in open boson string theory, revealing state mixing and gauge-invariant interactions through BRST quantization.

Contribution

It provides a gauge-invariant Lagrangian describing electromagnetic interactions of massive string states with spins 3 and 1, highlighting the mixing induced by external fields.

Findings

External electromagnetic fields cause mixing of string states at the same mass level.

The derived Lagrangian is gauge-invariant and explicitly shows state interactions.

State mixing likely occurs at other string mass levels as well.

Abstract

In the given work we study an interaction of second massive state of an open boson string with the constant electromagnetic field. This state contains massive fields with spins 3 and 1. Using the method of an open string BRST quantization, we receive gauge-invariant lagrangian, describing the electromagnetic interaction of these fields. From the explicit view of transformations and lagrangian it follows that the presence of external constant e/m field leads to the mixing of the given level states. Most likely that the presence of the external field will lead to the mixing of the states at other mass string levels as well.